A Stationary Error Analysis of a Finite Dimensional Adaptive Identifier for a Distributed Parameter System of Parabolic Type

Abstract

In this paper, a stationary error analysis of finite-dimensional adaptive identifier for a distributed parameter system of parabolic type is considered. The proposed method is based on the eigenfunction expansion and the error analysis by Ioannou and Kokotovic of the robust adaptive identifiers for a lumped parameter system. An error estimate for the finite dimensional adaptive identifier is obtained, and the validity of the higher order approximation of the adaptive identification for the distributed parameter system is shown. A simple simulation is demonstrated in order to ascertain the efficiency of the proposed method.